Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
754 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 754 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#10597364 | C2 | semidirect |
| 3. C22⋊Q8×D19 | C2 | semidirect |
| 4. #11926709 | C2 | semidirect |
| 5. #11926705 | C2 | semidirect |
| 6. #11926700 | C2 | semidirect |
| 7. #11926697 | C2 | semidirect |
| 8. #11926694 | C2 | semidirect |
| 9. #11926544 | C2 | semidirect |
| 10. #11926506 | C2 | semidirect |
| 11. C19×#451 | C2 | semidirect |
| 18. C2×Q8×D19 | C22 | semidirect |
| 23. C2×Q16×C19 | C22 | semidirect |
| 25. #10597392 | C22 | semidirect |
| 26. C2×#64528 | C22 | semidirect |
| 27. C2×#64527 | C22 | semidirect |
| 30. C2×#64516 | C22 | semidirect |
| 31. C2×#64515 | C22 | semidirect |
| 32. #10597343 | C22 | semidirect |
| 35. C4⋊C4×D19 | C22 | semidirect |
| 38. C19×#103 | C22 | semidirect |
| 40. #10597292 | C22 | semidirect |
| 42. #10597278 | C22 | semidirect |
| 43. (C2×D19)⋊C8 | C22 | semidirect |
| 44. #10597266 | C22 | semidirect |
| 143. C22×C19 | #137 | semidirect |
| 171. #451 | D19 | semidirect |
| 196. C2×Q16 | C2×D19 | semidirect |
| 210. #103 | C2×D19 | semidirect |
| 216. C19 | #3007 | semidirect |
| 325. C22 | #10597364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64545 | 2 |
| C2×#10597364 | 2 |
| C22⋊Q8×D19 | 2 |
| #11926709 | 2 |
| #11926705 | 2 |
| #11926700 | 2 |
| #11926697 | 2 |
| #11926694 | 2 |
| #11926544 | 2 |
| #11926506 | 2 |
| C19×#451 | 2 |
| #3007 | 19 |